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Finding the Third Proportional to 13,503 and 20,956.50

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Solution

The third proportional to 13,503 and 20,956.50 is: 32,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503 : 20,956.50 = 20,956.50 : x
  2. Step 2: Convert to fraction form
    13,503/20,956.50 = 20,956.50/x
  3. Step 3: Cross multiply
    13,503x = 20,956.50 × 20,956.50
  4. Step 4: Simplify right side
    13,503x = 439,174,892.25
  5. Step 5: Solve for x
    x = 439,174,892.25/13,503
  6. Step 6: Final answer
    x = 32,524.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.